Add 70/75 and 30/49
70/75 + 30/49 is 1136/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675
Next, find the equivalent fraction of both fractional numbers with denominator 3675 - For the 1st fraction, since 75 × 49 = 3675,
70/75 = 70 × 49/75 × 49 = 3430/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
30/49 = 30 × 75/49 × 75 = 2250/3675 - Add the two like fractions:
3430/3675 + 2250/3675 = 3430 + 2250/3675 = 5680/3675 - 5680/3675 simplified gives 1136/735
- So, 70/75 + 30/49 = 1136/735
In mixed form: 1401/735
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